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Finding the Fourth Proportional to 380.07, 524.55 and 214.34

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Solution

The fourth proportional to 380.07, 524.55 and 214.34 is: 295.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.07 : 524.55 = 214.34 : x
  2. Step 2: Convert to fraction form
    380.07/524.55 = 214.34/x
  3. Step 3: Cross multiply
    380.07x = 524.55 × 214.34
  4. Step 4: Simplify right side
    380.07x = 112,432.05
  5. Step 5: Solve for x
    x = 112,432.05/380.07
  6. Step 6: Final answer
    x = 295.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.